Given:
Total investment = ₹50,000
Ravi invests ₹4,000 more than Kishan
Kishan invests ₹5,000 more than Surya
Total profit = ₹1,35,000
Formula Used:
Profit share is proportional to the investment.
Total investment = Ravi's investment + Kishan's investment + Surya's investment
Profit share = (Individual investment / Total investment) × Total profit
Calculation:
Let Surya's investment = ₹x
⇒ Kishan's investment = x + 5,000
⇒ Ravi's investment = (x + 5,000) + 4,000 = x + 9,000
⇒ Total investment = x + (x + 5,000) + (x + 9,000)
⇒ Total investment = 3x + 14,000
According to the question, total investment = ₹50,000
⇒ 3x + 14,000 = 50,000
⇒ 3x = 50,000 - 14,000
⇒ 3x = 36,000
⇒ x = 36,000 / 3
⇒ x = ₹12,000
⇒ Surya's investment = ₹12,000
⇒ Kishan's investment = 12,000 + 5,000 = ₹17,000
⇒ Ravi's investment = 17,000 + 4,000 = ₹21,000
Profit share ratio = Ravi's investment : Kishan's investment : Surya's investment
⇒ Profit share ratio = 21,000 : 17,000 : 12,000
⇒ Profit share ratio = 21 : 17 : 12
Total ratio = 21 + 17 + 12 = 50
Ravi's profit share = (Ravi's ratio / Total ratio) × Total profit
⇒ Ravi's profit share = (21 / 50) × 1,35,000
⇒ Ravi's profit share = 2,83,500 / 50
⇒ Ravi's profit share = ₹56,700
∴ The correct answer is ₹56,700.